Monotone Behavior of Trusses Under Two Loadings
Publication: Journal of Structural Engineering
Volume 111, Issue 2
Abstract
This note provides a convergence proof to the iterative procedure of the analysis/redesign type that attains an upper bound (a fully stressed design) on the minimum weight of trusses under two loading conditions. The proof demonstrates decreasing monotone behavior of an objective function that is proportional to the weight at convergence. In addition, it is speculated that both the lower and upper bound can be attained with relative ease through iterations, and may be useful as a ``guidance pair'' for minimum weight design.
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References
1.
Hemp, W. S., Optimum Structures, Oxford University Press, 1973.
2.
Richer, Thomas P., “Optimum Design—Minimum Weight versus Fully Stressed,” Journal of the Structural Division, ASCE, No. ST6, Dec., 1966.
3.
Lev, O. E., “Optimum Choice of Determinate Trusses under Multiple Loads,” Journal of the Structural Division, ASCE, Vol. 103, No. ST2, Feb., 1977.
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Noble, B., and Daniel, J. W., Applied Linear Algebra, Prentice‐Hall Inc., N.J., 1977.
5.
Spillers, W. R., Automated Structural Analysis: An Introduction, Pergamon Press, New York, N.Y., 1971.
6.
Spillers, W. R., and Lev, O., “Design for Two Loading Conditions,” International Journal of Solids and Structures, Vol. 7, 1971, pp. 1261–1267.
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Spillers, W. R., and Al‐Banna, S., “Optimization using Iterative Design Techniques,” Computers and Structures, Vol. 3, 1973, pp. 1263–1271.
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Spillers, W. R., Iterative Structural Design, North Holland Publishing Company, Amsterdam, The Netherlands, 1975.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 111 • Issue 2 • February 1985
Pages: 474 - 477
Copyright
Copyright © 1985 ASCE.
History
Published online: Feb 1, 1985
Published in print: Feb 1985
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